Question

Find the distance between points A = (2, 0) and

B= (0, 9). Round your answer to the nearest tenth.
Show your work

Answer 1

9.2

Explanation:

You want the distance between A(2, 0) and B(0, 9).

Distance

The distance formula is based on the Pythagorean theorem. It tells you the distance between (x1, y1) and (x2, y2) is ...

d = √((x2 -x1)² +(y2 -y1)²)

For the given points, this becomes ...

d = √((0 -2)² +(9 -0)²) = √(4+81) = √85

d ≈ 9.2

The distance between A and B is about 9.2 units.